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Finding the Fourth Proportional to 32,088.94, 48,114.94 and 12,364.96

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Solution

The fourth proportional to 32,088.94, 48,114.94 and 12,364.96 is: 18,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088.94 : 48,114.94 = 12,364.96 : x
  2. Step 2: Convert to fraction form
    32,088.94/48,114.94 = 12,364.96/x
  3. Step 3: Cross multiply
    32,088.94x = 48,114.94 × 12,364.96
  4. Step 4: Simplify right side
    32,088.94x = 594,939,308.50
  5. Step 5: Solve for x
    x = 594,939,308.50/32,088.94
  6. Step 6: Final answer
    x = 18,540.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.